243285120 has 480 divisors, whose sum is σ = 987483420. Its totient is φ = 56733696.

The previous prime is 243285109. The next prime is 243285157. The reversal of 243285120 is 21582342.

It can be written as a sum of positive squares in 2 ways, for example, as 226442304 + 16842816 = 15048^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×243285120² = 118375299226828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12804471 + ... + 12804489.

Almost surely, 2^243285120 is an apocalyptic number.

243285120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493741710).

243285120 is an abundant number, since it is smaller than the sum of its proper divisors (744198300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243285120 is a wasteful number, since it uses less digits than its factorization.

243285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 243285120 is about 15597.5998153562. The cubic root of 243285120 is about 624.2691146905.

The spelling of 243285120 in words is "two hundred forty-three million, two hundred eighty-five thousand, one hundred twenty".